Fujita-type freeness for quasi-log canonical threefolds
Haidong Liu
TL;DR
This paper proves Fujita's basepoint-freeness conjecture for three-dimensional projective quasi-log canonical and semi-log canonical threefolds, advancing understanding of their geometric properties.
Contribution
It establishes the validity of Fujita-type freeness for quasi-log canonical threefolds, a significant extension of previous results to this class of singularities.
Findings
Fujita's basepoint-freeness conjecture holds for three-dimensional projective quasi-log canonical singularities.
Fujita-type basepoint-freeness is proven for projective semi-log canonical threefolds.
The results confirm conjectures in the context of certain singular threefolds.
Abstract
In this paper, we show that Fujita's basepoint-freeness conjecture for projective quasi-log canonical singularities holds true in dimension three. Immediately, we prove Fujita-type basepoint-freeness for projective semi-log canonical threefolds.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric and Algebraic Topology